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4 votes
Determine the ordered pair that satisfies the equation, 6x - 3y = 5.

a-(9 ,16/3)
b- (6 , -3)
c- (1,−11/3)
d- (-2 ,−17/3)

2 Answers

3 votes

Answer:

Option d

Explanation:

Given is a linear equation in x and y as


6x-3y =5

To check whether a point satisfies the equation, let us substitute and check whether the equation holds good

a)
6(9)-3(16/3) = 38 \\eq 5

b)
6(6)-3(-3) \\eq 5

c)
6(1)-3(-11/3) = 17\\eq 5

d)
6(-2)-3(-17/3) = -12+17 =5

Since last point satisfies the equation, option d is the answer.

User Matti Mehtonen
by
8.4k points
4 votes

Given the equation
6x-3y=5.

Check all options:

A.
\left(9,(16)/(3)\right), this means that
x=9, y=(16)/(3). Substitute these numbers into the left side of the equation equation:


6\cdot 9-3\cdot (16)/(3)=54-16=38\\eq 5.

This option is false.

B.
\left(6,-3\right), this means that
x=6, y=-3. Substitute these numbers into the left side of the equation equation:


6\cdot 6-3\cdot (-3)=36+9=45\\eq 5.

This option is false.

C.
\left(1,-(11)/(3)\right), this means that
x=1, y=-(11)/(3). Substitute these numbers into the left side of the equation equation:


6\cdot 1-3\cdot \left(-(11)/(3)\right)=6+11=17\\eq 5.

This option is false.

D.
\left(-2,-(17)/(3)\right), this means that
x=-2, y=-(17)/(3). Substitute these numbers into the left side of the equation equation:


6\cdot (-2)-3\cdot \left(-(17)/(3)\right)=-12+17=5.

This option is true.

Answer: correct choice is D.

User AurelienC
by
8.3k points
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